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Finding the Fourth Proportional to 316.42, 475.13 and 281.77

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Solution

The fourth proportional to 316.42, 475.13 and 281.77 is: 423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.42 : 475.13 = 281.77 : x
  2. Step 2: Convert to fraction form
    316.42/475.13 = 281.77/x
  3. Step 3: Cross multiply
    316.42x = 475.13 × 281.77
  4. Step 4: Simplify right side
    316.42x = 133,877.38
  5. Step 5: Solve for x
    x = 133,877.38/316.42
  6. Step 6: Final answer
    x = 423.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.