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Finding the Fourth Proportional to 370.09, 551.86 and 319.06

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Solution

The fourth proportional to 370.09, 551.86 and 319.06 is: 475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.09 : 551.86 = 319.06 : x
  2. Step 2: Convert to fraction form
    370.09/551.86 = 319.06/x
  3. Step 3: Cross multiply
    370.09x = 551.86 × 319.06
  4. Step 4: Simplify right side
    370.09x = 176,073.69
  5. Step 5: Solve for x
    x = 176,073.69/370.09
  6. Step 6: Final answer
    x = 475.77

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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.