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Finding the Fourth Proportional to 365.31, 545.13 and 342.02

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Solution

The fourth proportional to 365.31, 545.13 and 342.02 is: 510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.31 : 545.13 = 342.02 : x
  2. Step 2: Convert to fraction form
    365.31/545.13 = 342.02/x
  3. Step 3: Cross multiply
    365.31x = 545.13 × 342.02
  4. Step 4: Simplify right side
    365.31x = 186,446.73
  5. Step 5: Solve for x
    x = 186,446.73/365.31
  6. Step 6: Final answer
    x = 510.38

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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.