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Finding the Fourth Proportional to 263.49, 392.12 and 253.77

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Solution

The fourth proportional to 263.49, 392.12 and 253.77 is: 377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.49 : 392.12 = 253.77 : x
  2. Step 2: Convert to fraction form
    263.49/392.12 = 253.77/x
  3. Step 3: Cross multiply
    263.49x = 392.12 × 253.77
  4. Step 4: Simplify right side
    263.49x = 99,507.93
  5. Step 5: Solve for x
    x = 99,507.93/263.49
  6. Step 6: Final answer
    x = 377.66

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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.