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Finding the Fourth Proportional to 424.02, 585.16 and 266.65

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Solution

The fourth proportional to 424.02, 585.16 and 266.65 is: 367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.02 : 585.16 = 266.65 : x
  2. Step 2: Convert to fraction form
    424.02/585.16 = 266.65/x
  3. Step 3: Cross multiply
    424.02x = 585.16 × 266.65
  4. Step 4: Simplify right side
    424.02x = 156,032.91
  5. Step 5: Solve for x
    x = 156,032.91/424.02
  6. Step 6: Final answer
    x = 367.98

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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.