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Finding the Fourth Proportional to 296.46, 442.50 and 261.87

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Solution

The fourth proportional to 296.46, 442.50 and 261.87 is: 390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.46 : 442.50 = 261.87 : x
  2. Step 2: Convert to fraction form
    296.46/442.50 = 261.87/x
  3. Step 3: Cross multiply
    296.46x = 442.50 × 261.87
  4. Step 4: Simplify right side
    296.46x = 115,877.48
  5. Step 5: Solve for x
    x = 115,877.48/296.46
  6. Step 6: Final answer
    x = 390.87

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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.