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Finding the Fourth Proportional to 466.19, 643.30 and 269.77

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Solution

The fourth proportional to 466.19, 643.30 and 269.77 is: 372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.19 : 643.30 = 269.77 : x
  2. Step 2: Convert to fraction form
    466.19/643.30 = 269.77/x
  3. Step 3: Cross multiply
    466.19x = 643.30 × 269.77
  4. Step 4: Simplify right side
    466.19x = 173,543.04
  5. Step 5: Solve for x
    x = 173,543.04/466.19
  6. Step 6: Final answer
    x = 372.26

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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.