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Finding the Fourth Proportional to 290.12, 432.68 and 247.06

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Solution

The fourth proportional to 290.12, 432.68 and 247.06 is: 368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.12 : 432.68 = 247.06 : x
  2. Step 2: Convert to fraction form
    290.12/432.68 = 247.06/x
  3. Step 3: Cross multiply
    290.12x = 432.68 × 247.06
  4. Step 4: Simplify right side
    290.12x = 106,897.92
  5. Step 5: Solve for x
    x = 106,897.92/290.12
  6. Step 6: Final answer
    x = 368.46

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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.