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Finding the Fourth Proportional to 397.76, 595.56 and 260.48

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Solution

The fourth proportional to 397.76, 595.56 and 260.48 is: 390.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.76 : 595.56 = 260.48 : x
  2. Step 2: Convert to fraction form
    397.76/595.56 = 260.48/x
  3. Step 3: Cross multiply
    397.76x = 595.56 × 260.48
  4. Step 4: Simplify right side
    397.76x = 155,131.47
  5. Step 5: Solve for x
    x = 155,131.47/397.76
  6. Step 6: Final answer
    x = 390.01

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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.