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Finding the Fourth Proportional to 265.62, 399.95 and 193.98

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Solution

The fourth proportional to 265.62, 399.95 and 193.98 is: 292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.62 : 399.95 = 193.98 : x
  2. Step 2: Convert to fraction form
    265.62/399.95 = 193.98/x
  3. Step 3: Cross multiply
    265.62x = 399.95 × 193.98
  4. Step 4: Simplify right side
    265.62x = 77,581.33
  5. Step 5: Solve for x
    x = 77,581.33/265.62
  6. Step 6: Final answer
    x = 292.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.