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Finding the Fourth Proportional to 190.64, 284.32 and 187.40

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Solution

The fourth proportional to 190.64, 284.32 and 187.40 is: 279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.64 : 284.32 = 187.40 : x
  2. Step 2: Convert to fraction form
    190.64/284.32 = 187.40/x
  3. Step 3: Cross multiply
    190.64x = 284.32 × 187.40
  4. Step 4: Simplify right side
    190.64x = 53,281.57
  5. Step 5: Solve for x
    x = 53,281.57/190.64
  6. Step 6: Final answer
    x = 279.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.