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Finding the Fourth Proportional to 375.40, 558.29 and 346.60

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Solution

The fourth proportional to 375.40, 558.29 and 346.60 is: 515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.40 : 558.29 = 346.60 : x
  2. Step 2: Convert to fraction form
    375.40/558.29 = 346.60/x
  3. Step 3: Cross multiply
    375.40x = 558.29 × 346.60
  4. Step 4: Simplify right side
    375.40x = 193,503.31
  5. Step 5: Solve for x
    x = 193,503.31/375.40
  6. Step 6: Final answer
    x = 515.46

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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.