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Finding the Fourth Proportional to 349.15, 525.65 and 289.21

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Solution

The fourth proportional to 349.15, 525.65 and 289.21 is: 435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.15 : 525.65 = 289.21 : x
  2. Step 2: Convert to fraction form
    349.15/525.65 = 289.21/x
  3. Step 3: Cross multiply
    349.15x = 525.65 × 289.21
  4. Step 4: Simplify right side
    349.15x = 152,023.24
  5. Step 5: Solve for x
    x = 152,023.24/349.15
  6. Step 6: Final answer
    x = 435.41

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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.