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Finding the Fourth Proportional to 370.64, 555.74 and 165.10

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Solution

The fourth proportional to 370.64, 555.74 and 165.10 is: 247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.64 : 555.74 = 165.10 : x
  2. Step 2: Convert to fraction form
    370.64/555.74 = 165.10/x
  3. Step 3: Cross multiply
    370.64x = 555.74 × 165.10
  4. Step 4: Simplify right side
    370.64x = 91,752.67
  5. Step 5: Solve for x
    x = 91,752.67/370.64
  6. Step 6: Final answer
    x = 247.55

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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.