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Finding the Fourth Proportional to 315.39, 469.74 and 313.83

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Solution

The fourth proportional to 315.39, 469.74 and 313.83 is: 467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.39 : 469.74 = 313.83 : x
  2. Step 2: Convert to fraction form
    315.39/469.74 = 313.83/x
  3. Step 3: Cross multiply
    315.39x = 469.74 × 313.83
  4. Step 4: Simplify right side
    315.39x = 147,418.50
  5. Step 5: Solve for x
    x = 147,418.50/315.39
  6. Step 6: Final answer
    x = 467.42

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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.