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Finding the Fourth Proportional to 171.14, 257.64 and 153.50

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Solution

The fourth proportional to 171.14, 257.64 and 153.50 is: 231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 257.64 = 153.50 : x
  2. Step 2: Convert to fraction form
    171.14/257.64 = 153.50/x
  3. Step 3: Cross multiply
    171.14x = 257.64 × 153.50
  4. Step 4: Simplify right side
    171.14x = 39,547.74
  5. Step 5: Solve for x
    x = 39,547.74/171.14
  6. Step 6: Final answer
    x = 231.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.