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Finding the Fourth Proportional to 298.72, 412.26 and 240.64

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Solution

The fourth proportional to 298.72, 412.26 and 240.64 is: 332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.72 : 412.26 = 240.64 : x
  2. Step 2: Convert to fraction form
    298.72/412.26 = 240.64/x
  3. Step 3: Cross multiply
    298.72x = 412.26 × 240.64
  4. Step 4: Simplify right side
    298.72x = 99,206.25
  5. Step 5: Solve for x
    x = 99,206.25/298.72
  6. Step 6: Final answer
    x = 332.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.