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Finding the Fourth Proportional to 285.28, 425.53 and 261.69

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Solution

The fourth proportional to 285.28, 425.53 and 261.69 is: 390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.28 : 425.53 = 261.69 : x
  2. Step 2: Convert to fraction form
    285.28/425.53 = 261.69/x
  3. Step 3: Cross multiply
    285.28x = 425.53 × 261.69
  4. Step 4: Simplify right side
    285.28x = 111,353.51
  5. Step 5: Solve for x
    x = 111,353.51/285.28
  6. Step 6: Final answer
    x = 390.34

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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.