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Finding the Fourth Proportional to 187.04, 280.54 and 50.10

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Solution

The fourth proportional to 187.04, 280.54 and 50.10 is: 75.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.04 : 280.54 = 50.10 : x
  2. Step 2: Convert to fraction form
    187.04/280.54 = 50.10/x
  3. Step 3: Cross multiply
    187.04x = 280.54 × 50.10
  4. Step 4: Simplify right side
    187.04x = 14,055.45
  5. Step 5: Solve for x
    x = 14,055.45/187.04
  6. Step 6: Final answer
    x = 75.15

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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.