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Finding the Fourth Proportional to 390.45, 586.10 and 347.39

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Solution

The fourth proportional to 390.45, 586.10 and 347.39 is: 521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.45 : 586.10 = 347.39 : x
  2. Step 2: Convert to fraction form
    390.45/586.10 = 347.39/x
  3. Step 3: Cross multiply
    390.45x = 586.10 × 347.39
  4. Step 4: Simplify right side
    390.45x = 203,603.54
  5. Step 5: Solve for x
    x = 203,603.54/390.45
  6. Step 6: Final answer
    x = 521.46

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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.