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Finding the Fourth Proportional to 642.30, 962.76 and 277.26

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Solution

The fourth proportional to 642.30, 962.76 and 277.26 is: 415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.30 : 962.76 = 277.26 : x
  2. Step 2: Convert to fraction form
    642.30/962.76 = 277.26/x
  3. Step 3: Cross multiply
    642.30x = 962.76 × 277.26
  4. Step 4: Simplify right side
    642.30x = 266,934.84
  5. Step 5: Solve for x
    x = 266,934.84/642.30
  6. Step 6: Final answer
    x = 415.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.