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Finding the Fourth Proportional to 518.51, 777.74 and 153.31

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Solution

The fourth proportional to 518.51, 777.74 and 153.31 is: 229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.51 : 777.74 = 153.31 : x
  2. Step 2: Convert to fraction form
    518.51/777.74 = 153.31/x
  3. Step 3: Cross multiply
    518.51x = 777.74 × 153.31
  4. Step 4: Simplify right side
    518.51x = 119,235.32
  5. Step 5: Solve for x
    x = 119,235.32/518.51
  6. Step 6: Final answer
    x = 229.96

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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.