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Finding the Fourth Proportional to 290.46, 433.64 and 258.06

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Solution

The fourth proportional to 290.46, 433.64 and 258.06 is: 385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 433.64 = 258.06 : x
  2. Step 2: Convert to fraction form
    290.46/433.64 = 258.06/x
  3. Step 3: Cross multiply
    290.46x = 433.64 × 258.06
  4. Step 4: Simplify right side
    290.46x = 111,903.85
  5. Step 5: Solve for x
    x = 111,903.85/290.46
  6. Step 6: Final answer
    x = 385.26

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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.