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Finding the Fourth Proportional to 404.61, 607.05 and 240.05

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Solution

The fourth proportional to 404.61, 607.05 and 240.05 is: 360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.61 : 607.05 = 240.05 : x
  2. Step 2: Convert to fraction form
    404.61/607.05 = 240.05/x
  3. Step 3: Cross multiply
    404.61x = 607.05 × 240.05
  4. Step 4: Simplify right side
    404.61x = 145,719.32
  5. Step 5: Solve for x
    x = 145,719.32/404.61
  6. Step 6: Final answer
    x = 360.15

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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.