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Finding the Fourth Proportional to 313.61, 469.19 and 210.40

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Solution

The fourth proportional to 313.61, 469.19 and 210.40 is: 314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.61 : 469.19 = 210.40 : x
  2. Step 2: Convert to fraction form
    313.61/469.19 = 210.40/x
  3. Step 3: Cross multiply
    313.61x = 469.19 × 210.40
  4. Step 4: Simplify right side
    313.61x = 98,716.93
  5. Step 5: Solve for x
    x = 98,716.93/313.61
  6. Step 6: Final answer
    x = 314.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.