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Finding the Fourth Proportional to 287.32, 396.90 and 259.72

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Solution

The fourth proportional to 287.32, 396.90 and 259.72 is: 358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.32 : 396.90 = 259.72 : x
  2. Step 2: Convert to fraction form
    287.32/396.90 = 259.72/x
  3. Step 3: Cross multiply
    287.32x = 396.90 × 259.72
  4. Step 4: Simplify right side
    287.32x = 103,082.87
  5. Step 5: Solve for x
    x = 103,082.87/287.32
  6. Step 6: Final answer
    x = 358.77

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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.