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Finding the Fourth Proportional to 312.93, 471.20 and 258.60

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Solution

The fourth proportional to 312.93, 471.20 and 258.60 is: 389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.93 : 471.20 = 258.60 : x
  2. Step 2: Convert to fraction form
    312.93/471.20 = 258.60/x
  3. Step 3: Cross multiply
    312.93x = 471.20 × 258.60
  4. Step 4: Simplify right side
    312.93x = 121,852.79
  5. Step 5: Solve for x
    x = 121,852.79/312.93
  6. Step 6: Final answer
    x = 389.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.