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Finding the Fourth Proportional to 312.32, 468.62 and 120.08

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Solution

The fourth proportional to 312.32, 468.62 and 120.08 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.32 : 468.62 = 120.08 : x
  2. Step 2: Convert to fraction form
    312.32/468.62 = 120.08/x
  3. Step 3: Cross multiply
    312.32x = 468.62 × 120.08
  4. Step 4: Simplify right side
    312.32x = 56,271.89
  5. Step 5: Solve for x
    x = 56,271.89/312.32
  6. Step 6: Final answer
    x = 180.17

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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.