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Finding the Fourth Proportional to 287.48, 432.81 and 253.44

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Solution

The fourth proportional to 287.48, 432.81 and 253.44 is: 381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.48 : 432.81 = 253.44 : x
  2. Step 2: Convert to fraction form
    287.48/432.81 = 253.44/x
  3. Step 3: Cross multiply
    287.48x = 432.81 × 253.44
  4. Step 4: Simplify right side
    287.48x = 109,691.37
  5. Step 5: Solve for x
    x = 109,691.37/287.48
  6. Step 6: Final answer
    x = 381.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.