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Finding the Fourth Proportional to 262.46, 362.40 and 213.32

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Solution

The fourth proportional to 262.46, 362.40 and 213.32 is: 294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.46 : 362.40 = 213.32 : x
  2. Step 2: Convert to fraction form
    262.46/362.40 = 213.32/x
  3. Step 3: Cross multiply
    262.46x = 362.40 × 213.32
  4. Step 4: Simplify right side
    262.46x = 77,307.17
  5. Step 5: Solve for x
    x = 77,307.17/262.46
  6. Step 6: Final answer
    x = 294.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.