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Finding the Fourth Proportional to 469.04, 646.88 and 291.92

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Solution

The fourth proportional to 469.04, 646.88 and 291.92 is: 402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.04 : 646.88 = 291.92 : x
  2. Step 2: Convert to fraction form
    469.04/646.88 = 291.92/x
  3. Step 3: Cross multiply
    469.04x = 646.88 × 291.92
  4. Step 4: Simplify right side
    469.04x = 188,837.21
  5. Step 5: Solve for x
    x = 188,837.21/469.04
  6. Step 6: Final answer
    x = 402.60

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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.