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Finding the Fourth Proportional to 649.93, 975.08 and 187.76

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Solution

The fourth proportional to 649.93, 975.08 and 187.76 is: 281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.93 : 975.08 = 187.76 : x
  2. Step 2: Convert to fraction form
    649.93/975.08 = 187.76/x
  3. Step 3: Cross multiply
    649.93x = 975.08 × 187.76
  4. Step 4: Simplify right side
    649.93x = 183,075.75
  5. Step 5: Solve for x
    x = 183,075.75/649.93
  6. Step 6: Final answer
    x = 281.69

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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.