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Finding the Fourth Proportional to 465.76, 643.04 and 291.36

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Solution

The fourth proportional to 465.76, 643.04 and 291.36 is: 402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.76 : 643.04 = 291.36 : x
  2. Step 2: Convert to fraction form
    465.76/643.04 = 291.36/x
  3. Step 3: Cross multiply
    465.76x = 643.04 × 291.36
  4. Step 4: Simplify right side
    465.76x = 187,356.13
  5. Step 5: Solve for x
    x = 187,356.13/465.76
  6. Step 6: Final answer
    x = 402.26

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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.