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Finding the Fourth Proportional to 439.84, 607.20 and 292.40

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Solution

The fourth proportional to 439.84, 607.20 and 292.40 is: 403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.84 : 607.20 = 292.40 : x
  2. Step 2: Convert to fraction form
    439.84/607.20 = 292.40/x
  3. Step 3: Cross multiply
    439.84x = 607.20 × 292.40
  4. Step 4: Simplify right side
    439.84x = 177,545.28
  5. Step 5: Solve for x
    x = 177,545.28/439.84
  6. Step 6: Final answer
    x = 403.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.