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Finding the Fourth Proportional to 310.55, 428.15 and 260.10

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Solution

The fourth proportional to 310.55, 428.15 and 260.10 is: 358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.55 : 428.15 = 260.10 : x
  2. Step 2: Convert to fraction form
    310.55/428.15 = 260.10/x
  3. Step 3: Cross multiply
    310.55x = 428.15 × 260.10
  4. Step 4: Simplify right side
    310.55x = 111,361.82
  5. Step 5: Solve for x
    x = 111,361.82/310.55
  6. Step 6: Final answer
    x = 358.60

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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.