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Finding the Fourth Proportional to 312.55, 468.84 and 210.05

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Solution

The fourth proportional to 312.55, 468.84 and 210.05 is: 315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.55 : 468.84 = 210.05 : x
  2. Step 2: Convert to fraction form
    312.55/468.84 = 210.05/x
  3. Step 3: Cross multiply
    312.55x = 468.84 × 210.05
  4. Step 4: Simplify right side
    312.55x = 98,478.79
  5. Step 5: Solve for x
    x = 98,478.79/312.55
  6. Step 6: Final answer
    x = 315.09

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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.