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Finding the Fourth Proportional to 345.15, 517.95 and 312.98

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Solution

The fourth proportional to 345.15, 517.95 and 312.98 is: 469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.15 : 517.95 = 312.98 : x
  2. Step 2: Convert to fraction form
    345.15/517.95 = 312.98/x
  3. Step 3: Cross multiply
    345.15x = 517.95 × 312.98
  4. Step 4: Simplify right side
    345.15x = 162,105.40
  5. Step 5: Solve for x
    x = 162,105.40/345.15
  6. Step 6: Final answer
    x = 469.67

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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.