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Finding the Fourth Proportional to 257.02, 354.63 and 152.06

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Solution

The fourth proportional to 257.02, 354.63 and 152.06 is: 209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.02 : 354.63 = 152.06 : x
  2. Step 2: Convert to fraction form
    257.02/354.63 = 152.06/x
  3. Step 3: Cross multiply
    257.02x = 354.63 × 152.06
  4. Step 4: Simplify right side
    257.02x = 53,923.74
  5. Step 5: Solve for x
    x = 53,923.74/257.02
  6. Step 6: Final answer
    x = 209.80

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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.