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Finding the Fourth Proportional to 290.48, 435.09 and 193.02

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Solution

The fourth proportional to 290.48, 435.09 and 193.02 is: 289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.48 : 435.09 = 193.02 : x
  2. Step 2: Convert to fraction form
    290.48/435.09 = 193.02/x
  3. Step 3: Cross multiply
    290.48x = 435.09 × 193.02
  4. Step 4: Simplify right side
    290.48x = 83,981.07
  5. Step 5: Solve for x
    x = 83,981.07/290.48
  6. Step 6: Final answer
    x = 289.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.