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Finding the Fourth Proportional to 314.87, 434.67 and 210.13

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Solution

The fourth proportional to 314.87, 434.67 and 210.13 is: 290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.87 : 434.67 = 210.13 : x
  2. Step 2: Convert to fraction form
    314.87/434.67 = 210.13/x
  3. Step 3: Cross multiply
    314.87x = 434.67 × 210.13
  4. Step 4: Simplify right side
    314.87x = 91,337.21
  5. Step 5: Solve for x
    x = 91,337.21/314.87
  6. Step 6: Final answer
    x = 290.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.