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Finding the Fourth Proportional to 313.47, 468.08 and 251.51

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Solution

The fourth proportional to 313.47, 468.08 and 251.51 is: 375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.47 : 468.08 = 251.51 : x
  2. Step 2: Convert to fraction form
    313.47/468.08 = 251.51/x
  3. Step 3: Cross multiply
    313.47x = 468.08 × 251.51
  4. Step 4: Simplify right side
    313.47x = 117,724.15
  5. Step 5: Solve for x
    x = 117,724.15/313.47
  6. Step 6: Final answer
    x = 375.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.