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Finding the Fourth Proportional to 287.81, 429.68 and 270.42

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Solution

The fourth proportional to 287.81, 429.68 and 270.42 is: 403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.81 : 429.68 = 270.42 : x
  2. Step 2: Convert to fraction form
    287.81/429.68 = 270.42/x
  3. Step 3: Cross multiply
    287.81x = 429.68 × 270.42
  4. Step 4: Simplify right side
    287.81x = 116,192.71
  5. Step 5: Solve for x
    x = 116,192.71/287.81
  6. Step 6: Final answer
    x = 403.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.