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Finding the Fourth Proportional to 526.84, 790.40 and 161.67

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Solution

The fourth proportional to 526.84, 790.40 and 161.67 is: 242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.84 : 790.40 = 161.67 : x
  2. Step 2: Convert to fraction form
    526.84/790.40 = 161.67/x
  3. Step 3: Cross multiply
    526.84x = 790.40 × 161.67
  4. Step 4: Simplify right side
    526.84x = 127,783.97
  5. Step 5: Solve for x
    x = 127,783.97/526.84
  6. Step 6: Final answer
    x = 242.55

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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.