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Finding the Fourth Proportional to 292.84, 439.28 and 146.72

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Solution

The fourth proportional to 292.84, 439.28 and 146.72 is: 220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.84 : 439.28 = 146.72 : x
  2. Step 2: Convert to fraction form
    292.84/439.28 = 146.72/x
  3. Step 3: Cross multiply
    292.84x = 439.28 × 146.72
  4. Step 4: Simplify right side
    292.84x = 64,451.16
  5. Step 5: Solve for x
    x = 64,451.16/292.84
  6. Step 6: Final answer
    x = 220.09

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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.