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Finding the Fourth Proportional to 360.54, 537.17 and 342.18

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Solution

The fourth proportional to 360.54, 537.17 and 342.18 is: 509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.54 : 537.17 = 342.18 : x
  2. Step 2: Convert to fraction form
    360.54/537.17 = 342.18/x
  3. Step 3: Cross multiply
    360.54x = 537.17 × 342.18
  4. Step 4: Simplify right side
    360.54x = 183,807.12
  5. Step 5: Solve for x
    x = 183,807.12/360.54
  6. Step 6: Final answer
    x = 509.81

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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.