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Finding the Fourth Proportional to 393.57, 592.64 and 291.58

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Solution

The fourth proportional to 393.57, 592.64 and 291.58 is: 439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.57 : 592.64 = 291.58 : x
  2. Step 2: Convert to fraction form
    393.57/592.64 = 291.58/x
  3. Step 3: Cross multiply
    393.57x = 592.64 × 291.58
  4. Step 4: Simplify right side
    393.57x = 172,798.28
  5. Step 5: Solve for x
    x = 172,798.28/393.57
  6. Step 6: Final answer
    x = 439.06

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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.