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Finding the Fourth Proportional to 477.65, 659.13 and 267.82

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Solution

The fourth proportional to 477.65, 659.13 and 267.82 is: 369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.65 : 659.13 = 267.82 : x
  2. Step 2: Convert to fraction form
    477.65/659.13 = 267.82/x
  3. Step 3: Cross multiply
    477.65x = 659.13 × 267.82
  4. Step 4: Simplify right side
    477.65x = 176,528.20
  5. Step 5: Solve for x
    x = 176,528.20/477.65
  6. Step 6: Final answer
    x = 369.58

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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.