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Finding the Fourth Proportional to 468.16, 702.64 and 194.40

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Solution

The fourth proportional to 468.16, 702.64 and 194.40 is: 291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.16 : 702.64 = 194.40 : x
  2. Step 2: Convert to fraction form
    468.16/702.64 = 194.40/x
  3. Step 3: Cross multiply
    468.16x = 702.64 × 194.40
  4. Step 4: Simplify right side
    468.16x = 136,593.22
  5. Step 5: Solve for x
    x = 136,593.22/468.16
  6. Step 6: Final answer
    x = 291.77

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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.