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Finding the Fourth Proportional to 319.58, 476.68 and 267.62

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Solution

The fourth proportional to 319.58, 476.68 and 267.62 is: 399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.58 : 476.68 = 267.62 : x
  2. Step 2: Convert to fraction form
    319.58/476.68 = 267.62/x
  3. Step 3: Cross multiply
    319.58x = 476.68 × 267.62
  4. Step 4: Simplify right side
    319.58x = 127,569.10
  5. Step 5: Solve for x
    x = 127,569.10/319.58
  6. Step 6: Final answer
    x = 399.18

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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.