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Finding the Fourth Proportional to 287.48, 428.49 and 266.68

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Solution

The fourth proportional to 287.48, 428.49 and 266.68 is: 397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.48 : 428.49 = 266.68 : x
  2. Step 2: Convert to fraction form
    287.48/428.49 = 266.68/x
  3. Step 3: Cross multiply
    287.48x = 428.49 × 266.68
  4. Step 4: Simplify right side
    287.48x = 114,269.71
  5. Step 5: Solve for x
    x = 114,269.71/287.48
  6. Step 6: Final answer
    x = 397.49

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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.