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Finding the Fourth Proportional to 518.02, 776.90 and 152.86

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Solution

The fourth proportional to 518.02, 776.90 and 152.86 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.02 : 776.90 = 152.86 : x
  2. Step 2: Convert to fraction form
    518.02/776.90 = 152.86/x
  3. Step 3: Cross multiply
    518.02x = 776.90 × 152.86
  4. Step 4: Simplify right side
    518.02x = 118,756.93
  5. Step 5: Solve for x
    x = 118,756.93/518.02
  6. Step 6: Final answer
    x = 229.25

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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.