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Finding the Fourth Proportional to 312.90, 469.36 and 120.50

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Solution

The fourth proportional to 312.90, 469.36 and 120.50 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.90 : 469.36 = 120.50 : x
  2. Step 2: Convert to fraction form
    312.90/469.36 = 120.50/x
  3. Step 3: Cross multiply
    312.90x = 469.36 × 120.50
  4. Step 4: Simplify right side
    312.90x = 56,557.88
  5. Step 5: Solve for x
    x = 56,557.88/312.90
  6. Step 6: Final answer
    x = 180.75

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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.