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Finding the Fourth Proportional to 294.72, 444 and 230.88

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Solution

The fourth proportional to 294.72, 444 and 230.88 is: 347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.72 : 444 = 230.88 : x
  2. Step 2: Convert to fraction form
    294.72/444 = 230.88/x
  3. Step 3: Cross multiply
    294.72x = 444 × 230.88
  4. Step 4: Simplify right side
    294.72x = 102,510.72
  5. Step 5: Solve for x
    x = 102,510.72/294.72
  6. Step 6: Final answer
    x = 347.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.