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Finding the Fourth Proportional to 404.77, 607.05 and 116.14

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Solution

The fourth proportional to 404.77, 607.05 and 116.14 is: 174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.77 : 607.05 = 116.14 : x
  2. Step 2: Convert to fraction form
    404.77/607.05 = 116.14/x
  3. Step 3: Cross multiply
    404.77x = 607.05 × 116.14
  4. Step 4: Simplify right side
    404.77x = 70,502.79
  5. Step 5: Solve for x
    x = 70,502.79/404.77
  6. Step 6: Final answer
    x = 174.18

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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.