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Finding the Fourth Proportional to 430.68, 643.14 and 338.34

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Solution

The fourth proportional to 430.68, 643.14 and 338.34 is: 505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.68 : 643.14 = 338.34 : x
  2. Step 2: Convert to fraction form
    430.68/643.14 = 338.34/x
  3. Step 3: Cross multiply
    430.68x = 643.14 × 338.34
  4. Step 4: Simplify right side
    430.68x = 217,599.99
  5. Step 5: Solve for x
    x = 217,599.99/430.68
  6. Step 6: Final answer
    x = 505.25

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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.