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Finding the Fourth Proportional to 404.77, 607.17 and 242.10

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Solution

The fourth proportional to 404.77, 607.17 and 242.10 is: 363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.77 : 607.17 = 242.10 : x
  2. Step 2: Convert to fraction form
    404.77/607.17 = 242.10/x
  3. Step 3: Cross multiply
    404.77x = 607.17 × 242.10
  4. Step 4: Simplify right side
    404.77x = 146,992.82
  5. Step 5: Solve for x
    x = 146,992.82/404.77
  6. Step 6: Final answer
    x = 363.15

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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.