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Finding the Fourth Proportional to 290.15, 435.65 and 285.82

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Solution

The fourth proportional to 290.15, 435.65 and 285.82 is: 429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.15 : 435.65 = 285.82 : x
  2. Step 2: Convert to fraction form
    290.15/435.65 = 285.82/x
  3. Step 3: Cross multiply
    290.15x = 435.65 × 285.82
  4. Step 4: Simplify right side
    290.15x = 124,519.29
  5. Step 5: Solve for x
    x = 124,519.29/290.15
  6. Step 6: Final answer
    x = 429.16

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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.