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Finding the Fourth Proportional to 430.75, 593.81 and 306.37

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Solution

The fourth proportional to 430.75, 593.81 and 306.37 is: 422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.75 : 593.81 = 306.37 : x
  2. Step 2: Convert to fraction form
    430.75/593.81 = 306.37/x
  3. Step 3: Cross multiply
    430.75x = 593.81 × 306.37
  4. Step 4: Simplify right side
    430.75x = 181,924.31
  5. Step 5: Solve for x
    x = 181,924.31/430.75
  6. Step 6: Final answer
    x = 422.34

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Find fourth proportional to 215.38, 296.91 and 153.18
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.