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Finding the Fourth Proportional to 240.61, 360.70 and 142.87

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Solution

The fourth proportional to 240.61, 360.70 and 142.87 is: 214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.61 : 360.70 = 142.87 : x
  2. Step 2: Convert to fraction form
    240.61/360.70 = 142.87/x
  3. Step 3: Cross multiply
    240.61x = 360.70 × 142.87
  4. Step 4: Simplify right side
    240.61x = 51,530.69
  5. Step 5: Solve for x
    x = 51,530.69/240.61
  6. Step 6: Final answer
    x = 214.17

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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.