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Finding the Fourth Proportional to 257.06, 354.70 and 146.52

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Solution

The fourth proportional to 257.06, 354.70 and 146.52 is: 202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.06 : 354.70 = 146.52 : x
  2. Step 2: Convert to fraction form
    257.06/354.70 = 146.52/x
  3. Step 3: Cross multiply
    257.06x = 354.70 × 146.52
  4. Step 4: Simplify right side
    257.06x = 51,971.74
  5. Step 5: Solve for x
    x = 51,971.74/257.06
  6. Step 6: Final answer
    x = 202.18

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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.