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Finding the Fourth Proportional to 263.48, 392.80 and 257.06

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Solution

The fourth proportional to 263.48, 392.80 and 257.06 is: 383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.48 : 392.80 = 257.06 : x
  2. Step 2: Convert to fraction form
    263.48/392.80 = 257.06/x
  3. Step 3: Cross multiply
    263.48x = 392.80 × 257.06
  4. Step 4: Simplify right side
    263.48x = 100,973.17
  5. Step 5: Solve for x
    x = 100,973.17/263.48
  6. Step 6: Final answer
    x = 383.23

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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.