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Finding the Fourth Proportional to 440.70, 607.77 and 309.72

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Solution

The fourth proportional to 440.70, 607.77 and 309.72 is: 427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.70 : 607.77 = 309.72 : x
  2. Step 2: Convert to fraction form
    440.70/607.77 = 309.72/x
  3. Step 3: Cross multiply
    440.70x = 607.77 × 309.72
  4. Step 4: Simplify right side
    440.70x = 188,238.52
  5. Step 5: Solve for x
    x = 188,238.52/440.70
  6. Step 6: Final answer
    x = 427.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.