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Finding the Fourth Proportional to 285.04, 427.36 and 99.89

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Solution

The fourth proportional to 285.04, 427.36 and 99.89 is: 149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.04 : 427.36 = 99.89 : x
  2. Step 2: Convert to fraction form
    285.04/427.36 = 99.89/x
  3. Step 3: Cross multiply
    285.04x = 427.36 × 99.89
  4. Step 4: Simplify right side
    285.04x = 42,688.99
  5. Step 5: Solve for x
    x = 42,688.99/285.04
  6. Step 6: Final answer
    x = 149.76

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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.