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Finding the Fourth Proportional to 316.59, 472.83 and 314.52

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Solution

The fourth proportional to 316.59, 472.83 and 314.52 is: 469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.59 : 472.83 = 314.52 : x
  2. Step 2: Convert to fraction form
    316.59/472.83 = 314.52/x
  3. Step 3: Cross multiply
    316.59x = 472.83 × 314.52
  4. Step 4: Simplify right side
    316.59x = 148,715.67
  5. Step 5: Solve for x
    x = 148,715.67/316.59
  6. Step 6: Final answer
    x = 469.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.