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Finding the Fourth Proportional to 423.07, 633.02 and 240.60

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Solution

The fourth proportional to 423.07, 633.02 and 240.60 is: 359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.07 : 633.02 = 240.60 : x
  2. Step 2: Convert to fraction form
    423.07/633.02 = 240.60/x
  3. Step 3: Cross multiply
    423.07x = 633.02 × 240.60
  4. Step 4: Simplify right side
    423.07x = 152,300.44
  5. Step 5: Solve for x
    x = 152,300.44/423.07
  6. Step 6: Final answer
    x = 359.99

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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.