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Finding the Fourth Proportional to 152.84, 228.29 and 131.07

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Solution

The fourth proportional to 152.84, 228.29 and 131.07 is: 195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.84 : 228.29 = 131.07 : x
  2. Step 2: Convert to fraction form
    152.84/228.29 = 131.07/x
  3. Step 3: Cross multiply
    152.84x = 228.29 × 131.07
  4. Step 4: Simplify right side
    152.84x = 29,921.97
  5. Step 5: Solve for x
    x = 29,921.97/152.84
  6. Step 6: Final answer
    x = 195.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.