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Finding the Fourth Proportional to 440.13, 607.10 and 292.78

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Solution

The fourth proportional to 440.13, 607.10 and 292.78 is: 403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.13 : 607.10 = 292.78 : x
  2. Step 2: Convert to fraction form
    440.13/607.10 = 292.78/x
  3. Step 3: Cross multiply
    440.13x = 607.10 × 292.78
  4. Step 4: Simplify right side
    440.13x = 177,746.74
  5. Step 5: Solve for x
    x = 177,746.74/440.13
  6. Step 6: Final answer
    x = 403.85

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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.