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Finding the Fourth Proportional to 511.32, 766.98 and 186.72

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Solution

The fourth proportional to 511.32, 766.98 and 186.72 is: 280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.32 : 766.98 = 186.72 : x
  2. Step 2: Convert to fraction form
    511.32/766.98 = 186.72/x
  3. Step 3: Cross multiply
    511.32x = 766.98 × 186.72
  4. Step 4: Simplify right side
    511.32x = 143,210.51
  5. Step 5: Solve for x
    x = 143,210.51/511.32
  6. Step 6: Final answer
    x = 280.08

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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.