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Finding the Fourth Proportional to 188.04, 257.62 and 187.50

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Solution

The fourth proportional to 188.04, 257.62 and 187.50 is: 256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.04 : 257.62 = 187.50 : x
  2. Step 2: Convert to fraction form
    188.04/257.62 = 187.50/x
  3. Step 3: Cross multiply
    188.04x = 257.62 × 187.50
  4. Step 4: Simplify right side
    188.04x = 48,303.28
  5. Step 5: Solve for x
    x = 48,303.28/188.04
  6. Step 6: Final answer
    x = 256.88

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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.