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Finding the Fourth Proportional to 365.31, 545.48 and 296.06

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Solution

The fourth proportional to 365.31, 545.48 and 296.06 is: 442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.31 : 545.48 = 296.06 : x
  2. Step 2: Convert to fraction form
    365.31/545.48 = 296.06/x
  3. Step 3: Cross multiply
    365.31x = 545.48 × 296.06
  4. Step 4: Simplify right side
    365.31x = 161,493.38
  5. Step 5: Solve for x
    x = 161,493.38/365.31
  6. Step 6: Final answer
    x = 442.07

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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.