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Finding the Fourth Proportional to 404.95, 607.42 and 161.47

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Solution

The fourth proportional to 404.95, 607.42 and 161.47 is: 242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.95 : 607.42 = 161.47 : x
  2. Step 2: Convert to fraction form
    404.95/607.42 = 161.47/x
  3. Step 3: Cross multiply
    404.95x = 607.42 × 161.47
  4. Step 4: Simplify right side
    404.95x = 98,080.11
  5. Step 5: Solve for x
    x = 98,080.11/404.95
  6. Step 6: Final answer
    x = 242.20

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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.