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Finding the Fourth Proportional to 294.23, 438.21 and 286.15

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Solution

The fourth proportional to 294.23, 438.21 and 286.15 is: 426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.23 : 438.21 = 286.15 : x
  2. Step 2: Convert to fraction form
    294.23/438.21 = 286.15/x
  3. Step 3: Cross multiply
    294.23x = 438.21 × 286.15
  4. Step 4: Simplify right side
    294.23x = 125,393.79
  5. Step 5: Solve for x
    x = 125,393.79/294.23
  6. Step 6: Final answer
    x = 426.18

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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.