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Finding the Fourth Proportional to 430.35, 593.48 and 313.10

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Solution

The fourth proportional to 430.35, 593.48 and 313.10 is: 431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.35 : 593.48 = 313.10 : x
  2. Step 2: Convert to fraction form
    430.35/593.48 = 313.10/x
  3. Step 3: Cross multiply
    430.35x = 593.48 × 313.10
  4. Step 4: Simplify right side
    430.35x = 185,814.06
  5. Step 5: Solve for x
    x = 185,814.06/430.35
  6. Step 6: Final answer
    x = 431.77

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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.