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Finding the Fourth Proportional to 438.70, 655.75 and 341.50

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Solution

The fourth proportional to 438.70, 655.75 and 341.50 is: 510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.70 : 655.75 = 341.50 : x
  2. Step 2: Convert to fraction form
    438.70/655.75 = 341.50/x
  3. Step 3: Cross multiply
    438.70x = 655.75 × 341.50
  4. Step 4: Simplify right side
    438.70x = 223,938.63
  5. Step 5: Solve for x
    x = 223,938.63/438.70
  6. Step 6: Final answer
    x = 510.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.