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Finding the Fourth Proportional to 284.02, 426.04 and 78.59

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Solution

The fourth proportional to 284.02, 426.04 and 78.59 is: 117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.02 : 426.04 = 78.59 : x
  2. Step 2: Convert to fraction form
    284.02/426.04 = 78.59/x
  3. Step 3: Cross multiply
    284.02x = 426.04 × 78.59
  4. Step 4: Simplify right side
    284.02x = 33,482.67
  5. Step 5: Solve for x
    x = 33,482.67/284.02
  6. Step 6: Final answer
    x = 117.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.