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Finding the Fourth Proportional to 397.61, 595.70 and 260.31

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Solution

The fourth proportional to 397.61, 595.70 and 260.31 is: 390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.61 : 595.70 = 260.31 : x
  2. Step 2: Convert to fraction form
    397.61/595.70 = 260.31/x
  3. Step 3: Cross multiply
    397.61x = 595.70 × 260.31
  4. Step 4: Simplify right side
    397.61x = 155,066.67
  5. Step 5: Solve for x
    x = 155,066.67/397.61
  6. Step 6: Final answer
    x = 390.00

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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.