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Finding the Fourth Proportional to 316.63, 471.15 and 315.55

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Solution

The fourth proportional to 316.63, 471.15 and 315.55 is: 469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.63 : 471.15 = 315.55 : x
  2. Step 2: Convert to fraction form
    316.63/471.15 = 315.55/x
  3. Step 3: Cross multiply
    316.63x = 471.15 × 315.55
  4. Step 4: Simplify right side
    316.63x = 148,671.38
  5. Step 5: Solve for x
    x = 148,671.38/316.63
  6. Step 6: Final answer
    x = 469.54

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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.