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Finding the Fourth Proportional to 468.18, 646.15 and 271.70

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Solution

The fourth proportional to 468.18, 646.15 and 271.70 is: 374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.18 : 646.15 = 271.70 : x
  2. Step 2: Convert to fraction form
    468.18/646.15 = 271.70/x
  3. Step 3: Cross multiply
    468.18x = 646.15 × 271.70
  4. Step 4: Simplify right side
    468.18x = 175,559.89
  5. Step 5: Solve for x
    x = 175,559.89/468.18
  6. Step 6: Final answer
    x = 374.98

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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.