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Finding the Fourth Proportional to 400.56, 601.20 and 291.84

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Solution

The fourth proportional to 400.56, 601.20 and 291.84 is: 438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.56 : 601.20 = 291.84 : x
  2. Step 2: Convert to fraction form
    400.56/601.20 = 291.84/x
  3. Step 3: Cross multiply
    400.56x = 601.20 × 291.84
  4. Step 4: Simplify right side
    400.56x = 175,454.21
  5. Step 5: Solve for x
    x = 175,454.21/400.56
  6. Step 6: Final answer
    x = 438.02

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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.