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Finding the Fourth Proportional to 463.19, 695.14 and 170.98

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Solution

The fourth proportional to 463.19, 695.14 and 170.98 is: 256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.19 : 695.14 = 170.98 : x
  2. Step 2: Convert to fraction form
    463.19/695.14 = 170.98/x
  3. Step 3: Cross multiply
    463.19x = 695.14 × 170.98
  4. Step 4: Simplify right side
    463.19x = 118,852.87
  5. Step 5: Solve for x
    x = 118,852.87/463.19
  6. Step 6: Final answer
    x = 256.59

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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.