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Finding the Fourth Proportional to 285.35, 425.79 and 253.35

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Solution

The fourth proportional to 285.35, 425.79 and 253.35 is: 378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.35 : 425.79 = 253.35 : x
  2. Step 2: Convert to fraction form
    285.35/425.79 = 253.35/x
  3. Step 3: Cross multiply
    285.35x = 425.79 × 253.35
  4. Step 4: Simplify right side
    285.35x = 107,873.90
  5. Step 5: Solve for x
    x = 107,873.90/285.35
  6. Step 6: Final answer
    x = 378.05

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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.