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Finding the Fourth Proportional to 380.90, 526.02 and 291.02

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Solution

The fourth proportional to 380.90, 526.02 and 291.02 is: 401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.90 : 526.02 = 291.02 : x
  2. Step 2: Convert to fraction form
    380.90/526.02 = 291.02/x
  3. Step 3: Cross multiply
    380.90x = 526.02 × 291.02
  4. Step 4: Simplify right side
    380.90x = 153,082.34
  5. Step 5: Solve for x
    x = 153,082.34/380.90
  6. Step 6: Final answer
    x = 401.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.