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Finding the Fourth Proportional to 315.46, 435.30 and 191.10

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Solution

The fourth proportional to 315.46, 435.30 and 191.10 is: 263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.46 : 435.30 = 191.10 : x
  2. Step 2: Convert to fraction form
    315.46/435.30 = 191.10/x
  3. Step 3: Cross multiply
    315.46x = 435.30 × 191.10
  4. Step 4: Simplify right side
    315.46x = 83,185.83
  5. Step 5: Solve for x
    x = 83,185.83/315.46
  6. Step 6: Final answer
    x = 263.70

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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.