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Finding the Fourth Proportional to 430.97, 646.72 and 266.66

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Solution

The fourth proportional to 430.97, 646.72 and 266.66 is: 400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.97 : 646.72 = 266.66 : x
  2. Step 2: Convert to fraction form
    430.97/646.72 = 266.66/x
  3. Step 3: Cross multiply
    430.97x = 646.72 × 266.66
  4. Step 4: Simplify right side
    430.97x = 172,453.02
  5. Step 5: Solve for x
    x = 172,453.02/430.97
  6. Step 6: Final answer
    x = 400.15

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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.