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Finding the Fourth Proportional to 290.34, 433.47 and 288.30

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Solution

The fourth proportional to 290.34, 433.47 and 288.30 is: 430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.34 : 433.47 = 288.30 : x
  2. Step 2: Convert to fraction form
    290.34/433.47 = 288.30/x
  3. Step 3: Cross multiply
    290.34x = 433.47 × 288.30
  4. Step 4: Simplify right side
    290.34x = 124,969.40
  5. Step 5: Solve for x
    x = 124,969.40/290.34
  6. Step 6: Final answer
    x = 430.42

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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.