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Finding the Fourth Proportional to 370.36, 551.89 and 346.06

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Solution

The fourth proportional to 370.36, 551.89 and 346.06 is: 515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.36 : 551.89 = 346.06 : x
  2. Step 2: Convert to fraction form
    370.36/551.89 = 346.06/x
  3. Step 3: Cross multiply
    370.36x = 551.89 × 346.06
  4. Step 4: Simplify right side
    370.36x = 190,987.05
  5. Step 5: Solve for x
    x = 190,987.05/370.36
  6. Step 6: Final answer
    x = 515.68

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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.