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Finding the Fourth Proportional to 534.58, 801.90 and 241.77

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Solution

The fourth proportional to 534.58, 801.90 and 241.77 is: 362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.58 : 801.90 = 241.77 : x
  2. Step 2: Convert to fraction form
    534.58/801.90 = 241.77/x
  3. Step 3: Cross multiply
    534.58x = 801.90 × 241.77
  4. Step 4: Simplify right side
    534.58x = 193,875.36
  5. Step 5: Solve for x
    x = 193,875.36/534.58
  6. Step 6: Final answer
    x = 362.67

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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.