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Finding the Fourth Proportional to 465.52, 642.23 and 279.01

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Solution

The fourth proportional to 465.52, 642.23 and 279.01 is: 384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.52 : 642.23 = 279.01 : x
  2. Step 2: Convert to fraction form
    465.52/642.23 = 279.01/x
  3. Step 3: Cross multiply
    465.52x = 642.23 × 279.01
  4. Step 4: Simplify right side
    465.52x = 179,187.20
  5. Step 5: Solve for x
    x = 179,187.20/465.52
  6. Step 6: Final answer
    x = 384.92

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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.