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Finding the Fourth Proportional to 287.85, 397.29 and 177.31

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Solution

The fourth proportional to 287.85, 397.29 and 177.31 is: 244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.85 : 397.29 = 177.31 : x
  2. Step 2: Convert to fraction form
    287.85/397.29 = 177.31/x
  3. Step 3: Cross multiply
    287.85x = 397.29 × 177.31
  4. Step 4: Simplify right side
    287.85x = 70,444.65
  5. Step 5: Solve for x
    x = 70,444.65/287.85
  6. Step 6: Final answer
    x = 244.72

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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.