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Finding the Fourth Proportional to 316.42, 432.92 and 315.22

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Solution

The fourth proportional to 316.42, 432.92 and 315.22 is: 431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.42 : 432.92 = 315.22 : x
  2. Step 2: Convert to fraction form
    316.42/432.92 = 315.22/x
  3. Step 3: Cross multiply
    316.42x = 432.92 × 315.22
  4. Step 4: Simplify right side
    316.42x = 136,465.04
  5. Step 5: Solve for x
    x = 136,465.04/316.42
  6. Step 6: Final answer
    x = 431.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.