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Finding the Fourth Proportional to 430.06, 593.58 and 305.59

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Solution

The fourth proportional to 430.06, 593.58 and 305.59 is: 421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.06 : 593.58 = 305.59 : x
  2. Step 2: Convert to fraction form
    430.06/593.58 = 305.59/x
  3. Step 3: Cross multiply
    430.06x = 593.58 × 305.59
  4. Step 4: Simplify right side
    430.06x = 181,392.11
  5. Step 5: Solve for x
    x = 181,392.11/430.06
  6. Step 6: Final answer
    x = 421.78

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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.