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Finding the Fourth Proportional to 290.24, 434.88 and 257.66

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Solution

The fourth proportional to 290.24, 434.88 and 257.66 is: 386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.24 : 434.88 = 257.66 : x
  2. Step 2: Convert to fraction form
    290.24/434.88 = 257.66/x
  3. Step 3: Cross multiply
    290.24x = 434.88 × 257.66
  4. Step 4: Simplify right side
    290.24x = 112,051.18
  5. Step 5: Solve for x
    x = 112,051.18/290.24
  6. Step 6: Final answer
    x = 386.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.