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Finding the Fourth Proportional to 290.04, 437.24 and 242.25

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Solution

The fourth proportional to 290.04, 437.24 and 242.25 is: 365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.04 : 437.24 = 242.25 : x
  2. Step 2: Convert to fraction form
    290.04/437.24 = 242.25/x
  3. Step 3: Cross multiply
    290.04x = 437.24 × 242.25
  4. Step 4: Simplify right side
    290.04x = 105,920.18
  5. Step 5: Solve for x
    x = 105,920.18/290.04
  6. Step 6: Final answer
    x = 365.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.