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Finding the Fourth Proportional to 295.50, 440.13 and 280.08

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Solution

The fourth proportional to 295.50, 440.13 and 280.08 is: 417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.50 : 440.13 = 280.08 : x
  2. Step 2: Convert to fraction form
    295.50/440.13 = 280.08/x
  3. Step 3: Cross multiply
    295.50x = 440.13 × 280.08
  4. Step 4: Simplify right side
    295.50x = 123,271.61
  5. Step 5: Solve for x
    x = 123,271.61/295.50
  6. Step 6: Final answer
    x = 417.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.