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Finding the Fourth Proportional to 314.80, 434.56 and 210.07

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Solution

The fourth proportional to 314.80, 434.56 and 210.07 is: 289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.80 : 434.56 = 210.07 : x
  2. Step 2: Convert to fraction form
    314.80/434.56 = 210.07/x
  3. Step 3: Cross multiply
    314.80x = 434.56 × 210.07
  4. Step 4: Simplify right side
    314.80x = 91,288.02
  5. Step 5: Solve for x
    x = 91,288.02/314.80
  6. Step 6: Final answer
    x = 289.99

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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.