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Finding the Fourth Proportional to 345.40, 515.42 and 314.74

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Solution

The fourth proportional to 345.40, 515.42 and 314.74 is: 469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.40 : 515.42 = 314.74 : x
  2. Step 2: Convert to fraction form
    345.40/515.42 = 314.74/x
  3. Step 3: Cross multiply
    345.40x = 515.42 × 314.74
  4. Step 4: Simplify right side
    345.40x = 162,223.29
  5. Step 5: Solve for x
    x = 162,223.29/345.40
  6. Step 6: Final answer
    x = 469.67

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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.