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Finding the Fourth Proportional to 263.16, 392.40 and 251.82

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Solution

The fourth proportional to 263.16, 392.40 and 251.82 is: 375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.16 : 392.40 = 251.82 : x
  2. Step 2: Convert to fraction form
    263.16/392.40 = 251.82/x
  3. Step 3: Cross multiply
    263.16x = 392.40 × 251.82
  4. Step 4: Simplify right side
    263.16x = 98,814.17
  5. Step 5: Solve for x
    x = 98,814.17/263.16
  6. Step 6: Final answer
    x = 375.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.