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Finding the Fourth Proportional to 290.52, 435.85 and 85.10

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Solution

The fourth proportional to 290.52, 435.85 and 85.10 is: 127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.52 : 435.85 = 85.10 : x
  2. Step 2: Convert to fraction form
    290.52/435.85 = 85.10/x
  3. Step 3: Cross multiply
    290.52x = 435.85 × 85.10
  4. Step 4: Simplify right side
    290.52x = 37,090.84
  5. Step 5: Solve for x
    x = 37,090.84/290.52
  6. Step 6: Final answer
    x = 127.67

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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.