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Finding the Fourth Proportional to 315.06, 469.86 and 276.72

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Solution

The fourth proportional to 315.06, 469.86 and 276.72 is: 412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.06 : 469.86 = 276.72 : x
  2. Step 2: Convert to fraction form
    315.06/469.86 = 276.72/x
  3. Step 3: Cross multiply
    315.06x = 469.86 × 276.72
  4. Step 4: Simplify right side
    315.06x = 130,019.66
  5. Step 5: Solve for x
    x = 130,019.66/315.06
  6. Step 6: Final answer
    x = 412.68

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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.