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Finding the Fourth Proportional to 263.34, 392.42 and 254.64

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Solution

The fourth proportional to 263.34, 392.42 and 254.64 is: 379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.34 : 392.42 = 254.64 : x
  2. Step 2: Convert to fraction form
    263.34/392.42 = 254.64/x
  3. Step 3: Cross multiply
    263.34x = 392.42 × 254.64
  4. Step 4: Simplify right side
    263.34x = 99,925.83
  5. Step 5: Solve for x
    x = 99,925.83/263.34
  6. Step 6: Final answer
    x = 379.46

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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.