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Finding the Fourth Proportional to 145.68, 218.75 and 138.37

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Solution

The fourth proportional to 145.68, 218.75 and 138.37 is: 207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.68 : 218.75 = 138.37 : x
  2. Step 2: Convert to fraction form
    145.68/218.75 = 138.37/x
  3. Step 3: Cross multiply
    145.68x = 218.75 × 138.37
  4. Step 4: Simplify right side
    145.68x = 30,267.34
  5. Step 5: Solve for x
    x = 30,267.34/145.68
  6. Step 6: Final answer
    x = 207.77

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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.