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Finding the Fourth Proportional to 145.70, 218.00 and 91.34

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Solution

The fourth proportional to 145.70, 218.00 and 91.34 is: 136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.70 : 218.00 = 91.34 : x
  2. Step 2: Convert to fraction form
    145.70/218.00 = 91.34/x
  3. Step 3: Cross multiply
    145.70x = 218.00 × 91.34
  4. Step 4: Simplify right side
    145.70x = 19,911.26
  5. Step 5: Solve for x
    x = 19,911.26/145.70
  6. Step 6: Final answer
    x = 136.66

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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.