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Finding the Fourth Proportional to 430.69, 594.25 and 291.07

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Solution

The fourth proportional to 430.69, 594.25 and 291.07 is: 401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.69 : 594.25 = 291.07 : x
  2. Step 2: Convert to fraction form
    430.69/594.25 = 291.07/x
  3. Step 3: Cross multiply
    430.69x = 594.25 × 291.07
  4. Step 4: Simplify right side
    430.69x = 172,965.38
  5. Step 5: Solve for x
    x = 172,965.38/430.69
  6. Step 6: Final answer
    x = 401.60

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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.