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Finding the Fourth Proportional to 360.60, 538.95 and 257.18

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Solution

The fourth proportional to 360.60, 538.95 and 257.18 is: 384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.60 : 538.95 = 257.18 : x
  2. Step 2: Convert to fraction form
    360.60/538.95 = 257.18/x
  3. Step 3: Cross multiply
    360.60x = 538.95 × 257.18
  4. Step 4: Simplify right side
    360.60x = 138,607.16
  5. Step 5: Solve for x
    x = 138,607.16/360.60
  6. Step 6: Final answer
    x = 384.38

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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.