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Finding the Fourth Proportional to 262.98, 392.25 and 228.47

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Solution

The fourth proportional to 262.98, 392.25 and 228.47 is: 340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.98 : 392.25 = 228.47 : x
  2. Step 2: Convert to fraction form
    262.98/392.25 = 228.47/x
  3. Step 3: Cross multiply
    262.98x = 392.25 × 228.47
  4. Step 4: Simplify right side
    262.98x = 89,617.36
  5. Step 5: Solve for x
    x = 89,617.36/262.98
  6. Step 6: Final answer
    x = 340.78

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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.