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Finding the Fourth Proportional to 293.42, 438.10 and 290.50

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Solution

The fourth proportional to 293.42, 438.10 and 290.50 is: 433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.42 : 438.10 = 290.50 : x
  2. Step 2: Convert to fraction form
    293.42/438.10 = 290.50/x
  3. Step 3: Cross multiply
    293.42x = 438.10 × 290.50
  4. Step 4: Simplify right side
    293.42x = 127,266.23
  5. Step 5: Solve for x
    x = 127,266.23/293.42
  6. Step 6: Final answer
    x = 433.73

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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.