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Finding the Fourth Proportional to 430.71, 594.01 and 290.80

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Solution

The fourth proportional to 430.71, 594.01 and 290.80 is: 401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.71 : 594.01 = 290.80 : x
  2. Step 2: Convert to fraction form
    430.71/594.01 = 290.80/x
  3. Step 3: Cross multiply
    430.71x = 594.01 × 290.80
  4. Step 4: Simplify right side
    430.71x = 172,738.11
  5. Step 5: Solve for x
    x = 172,738.11/430.71
  6. Step 6: Final answer
    x = 401.05

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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.