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Finding the Fourth Proportional to 291.24, 398.98 and 280.72

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Solution

The fourth proportional to 291.24, 398.98 and 280.72 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.24 : 398.98 = 280.72 : x
  2. Step 2: Convert to fraction form
    291.24/398.98 = 280.72/x
  3. Step 3: Cross multiply
    291.24x = 398.98 × 280.72
  4. Step 4: Simplify right side
    291.24x = 112,001.67
  5. Step 5: Solve for x
    x = 112,001.67/291.24
  6. Step 6: Final answer
    x = 384.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.