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Finding the Fourth Proportional to 293.90, 437.82 and 285.40

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Solution

The fourth proportional to 293.90, 437.82 and 285.40 is: 425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.90 : 437.82 = 285.40 : x
  2. Step 2: Convert to fraction form
    293.90/437.82 = 285.40/x
  3. Step 3: Cross multiply
    293.90x = 437.82 × 285.40
  4. Step 4: Simplify right side
    293.90x = 124,953.83
  5. Step 5: Solve for x
    x = 124,953.83/293.90
  6. Step 6: Final answer
    x = 425.16

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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.