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Finding the Fourth Proportional to 145.68, 199.86 and 137.40

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Solution

The fourth proportional to 145.68, 199.86 and 137.40 is: 188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.68 : 199.86 = 137.40 : x
  2. Step 2: Convert to fraction form
    145.68/199.86 = 137.40/x
  3. Step 3: Cross multiply
    145.68x = 199.86 × 137.40
  4. Step 4: Simplify right side
    145.68x = 27,460.76
  5. Step 5: Solve for x
    x = 27,460.76/145.68
  6. Step 6: Final answer
    x = 188.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.