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Finding the Fourth Proportional to 356.06, 531.53 and 309.92

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Solution

The fourth proportional to 356.06, 531.53 and 309.92 is: 462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.06 : 531.53 = 309.92 : x
  2. Step 2: Convert to fraction form
    356.06/531.53 = 309.92/x
  3. Step 3: Cross multiply
    356.06x = 531.53 × 309.92
  4. Step 4: Simplify right side
    356.06x = 164,727.57
  5. Step 5: Solve for x
    x = 164,727.57/356.06
  6. Step 6: Final answer
    x = 462.65

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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.