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Finding the Fourth Proportional to 307.55, 423.60 and 260.78

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Solution

The fourth proportional to 307.55, 423.60 and 260.78 is: 359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.55 : 423.60 = 260.78 : x
  2. Step 2: Convert to fraction form
    307.55/423.60 = 260.78/x
  3. Step 3: Cross multiply
    307.55x = 423.60 × 260.78
  4. Step 4: Simplify right side
    307.55x = 110,463.31
  5. Step 5: Solve for x
    x = 110,463.31/307.55
  6. Step 6: Final answer
    x = 359.17

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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.