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Finding the Fourth Proportional to 370.42, 555.72 and 197.06

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Solution

The fourth proportional to 370.42, 555.72 and 197.06 is: 295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.42 : 555.72 = 197.06 : x
  2. Step 2: Convert to fraction form
    370.42/555.72 = 197.06/x
  3. Step 3: Cross multiply
    370.42x = 555.72 × 197.06
  4. Step 4: Simplify right side
    370.42x = 109,510.18
  5. Step 5: Solve for x
    x = 109,510.18/370.42
  6. Step 6: Final answer
    x = 295.64

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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.