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Finding the Fourth Proportional to 440.13, 606.75 and 346.50

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Solution

The fourth proportional to 440.13, 606.75 and 346.50 is: 477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.13 : 606.75 = 346.50 : x
  2. Step 2: Convert to fraction form
    440.13/606.75 = 346.50/x
  3. Step 3: Cross multiply
    440.13x = 606.75 × 346.50
  4. Step 4: Simplify right side
    440.13x = 210,238.88
  5. Step 5: Solve for x
    x = 210,238.88/440.13
  6. Step 6: Final answer
    x = 477.67

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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.