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Finding the Fourth Proportional to 200.65, 277.15 and 145.30

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Solution

The fourth proportional to 200.65, 277.15 and 145.30 is: 200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.65 : 277.15 = 145.30 : x
  2. Step 2: Convert to fraction form
    200.65/277.15 = 145.30/x
  3. Step 3: Cross multiply
    200.65x = 277.15 × 145.30
  4. Step 4: Simplify right side
    200.65x = 40,269.90
  5. Step 5: Solve for x
    x = 40,269.90/200.65
  6. Step 6: Final answer
    x = 200.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.