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Finding the Fourth Proportional to 465.69, 642.93 and 291.27

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Solution

The fourth proportional to 465.69, 642.93 and 291.27 is: 402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.69 : 642.93 = 291.27 : x
  2. Step 2: Convert to fraction form
    465.69/642.93 = 291.27/x
  3. Step 3: Cross multiply
    465.69x = 642.93 × 291.27
  4. Step 4: Simplify right side
    465.69x = 187,266.22
  5. Step 5: Solve for x
    x = 187,266.22/465.69
  6. Step 6: Final answer
    x = 402.13

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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.