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Finding the Fourth Proportional to 151.99, 228.08 and 65.34

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Solution

The fourth proportional to 151.99, 228.08 and 65.34 is: 98.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.99 : 228.08 = 65.34 : x
  2. Step 2: Convert to fraction form
    151.99/228.08 = 65.34/x
  3. Step 3: Cross multiply
    151.99x = 228.08 × 65.34
  4. Step 4: Simplify right side
    151.99x = 14,903.60
  5. Step 5: Solve for x
    x = 14,903.60/151.99
  6. Step 6: Final answer
    x = 98.06

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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.