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Finding the Fourth Proportional to 294.04, 437.58 and 285.40

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Solution

The fourth proportional to 294.04, 437.58 and 285.40 is: 424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.04 : 437.58 = 285.40 : x
  2. Step 2: Convert to fraction form
    294.04/437.58 = 285.40/x
  3. Step 3: Cross multiply
    294.04x = 437.58 × 285.40
  4. Step 4: Simplify right side
    294.04x = 124,885.33
  5. Step 5: Solve for x
    x = 124,885.33/294.04
  6. Step 6: Final answer
    x = 424.72

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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.