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Finding the Fourth Proportional to 393.13, 591.98 and 291.14

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Solution

The fourth proportional to 393.13, 591.98 and 291.14 is: 438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.13 : 591.98 = 291.14 : x
  2. Step 2: Convert to fraction form
    393.13/591.98 = 291.14/x
  3. Step 3: Cross multiply
    393.13x = 591.98 × 291.14
  4. Step 4: Simplify right side
    393.13x = 172,346.10
  5. Step 5: Solve for x
    x = 172,346.10/393.13
  6. Step 6: Final answer
    x = 438.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.