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Finding the Fourth Proportional to 468.42, 702.10 and 194.16

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Solution

The fourth proportional to 468.42, 702.10 and 194.16 is: 291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.42 : 702.10 = 194.16 : x
  2. Step 2: Convert to fraction form
    468.42/702.10 = 194.16/x
  3. Step 3: Cross multiply
    468.42x = 702.10 × 194.16
  4. Step 4: Simplify right side
    468.42x = 136,322.61
  5. Step 5: Solve for x
    x = 136,322.61/468.42
  6. Step 6: Final answer
    x = 291.03

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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.