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Finding the Fourth Proportional to 606.02, 909.15 and 259.35

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Solution

The fourth proportional to 606.02, 909.15 and 259.35 is: 389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.02 : 909.15 = 259.35 : x
  2. Step 2: Convert to fraction form
    606.02/909.15 = 259.35/x
  3. Step 3: Cross multiply
    606.02x = 909.15 × 259.35
  4. Step 4: Simplify right side
    606.02x = 235,788.05
  5. Step 5: Solve for x
    x = 235,788.05/606.02
  6. Step 6: Final answer
    x = 389.08

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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.