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Finding the Fourth Proportional to 438.85, 657.26 and 340.84

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Solution

The fourth proportional to 438.85, 657.26 and 340.84 is: 510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.85 : 657.26 = 340.84 : x
  2. Step 2: Convert to fraction form
    438.85/657.26 = 340.84/x
  3. Step 3: Cross multiply
    438.85x = 657.26 × 340.84
  4. Step 4: Simplify right side
    438.85x = 224,015.51
  5. Step 5: Solve for x
    x = 224,015.51/438.85
  6. Step 6: Final answer
    x = 510.47

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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.