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Finding the Fourth Proportional to 362.16, 542.99 and 297.77

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Solution

The fourth proportional to 362.16, 542.99 and 297.77 is: 446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.16 : 542.99 = 297.77 : x
  2. Step 2: Convert to fraction form
    362.16/542.99 = 297.77/x
  3. Step 3: Cross multiply
    362.16x = 542.99 × 297.77
  4. Step 4: Simplify right side
    362.16x = 161,681.93
  5. Step 5: Solve for x
    x = 161,681.93/362.16
  6. Step 6: Final answer
    x = 446.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.