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Finding the Fourth Proportional to 284.79, 425.03 and 253.58

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Solution

The fourth proportional to 284.79, 425.03 and 253.58 is: 378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.79 : 425.03 = 253.58 : x
  2. Step 2: Convert to fraction form
    284.79/425.03 = 253.58/x
  3. Step 3: Cross multiply
    284.79x = 425.03 × 253.58
  4. Step 4: Simplify right side
    284.79x = 107,779.11
  5. Step 5: Solve for x
    x = 107,779.11/284.79
  6. Step 6: Final answer
    x = 378.45

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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.