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Finding the Fourth Proportional to 315.50, 434.85 and 260.06

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Solution

The fourth proportional to 315.50, 434.85 and 260.06 is: 358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.50 : 434.85 = 260.06 : x
  2. Step 2: Convert to fraction form
    315.50/434.85 = 260.06/x
  3. Step 3: Cross multiply
    315.50x = 434.85 × 260.06
  4. Step 4: Simplify right side
    315.50x = 113,087.09
  5. Step 5: Solve for x
    x = 113,087.09/315.50
  6. Step 6: Final answer
    x = 358.44

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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.