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Finding the Fourth Proportional to 383.90, 526.09 and 347.00

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Solution

The fourth proportional to 383.90, 526.09 and 347.00 is: 475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.90 : 526.09 = 347.00 : x
  2. Step 2: Convert to fraction form
    383.90/526.09 = 347.00/x
  3. Step 3: Cross multiply
    383.90x = 526.09 × 347.00
  4. Step 4: Simplify right side
    383.90x = 182,551.03
  5. Step 5: Solve for x
    x = 182,551.03/383.90
  6. Step 6: Final answer
    x = 475.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.