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Finding the Fourth Proportional to 383.04, 526.14 and 377.64

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Solution

The fourth proportional to 383.04, 526.14 and 377.64 is: 518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.04 : 526.14 = 377.64 : x
  2. Step 2: Convert to fraction form
    383.04/526.14 = 377.64/x
  3. Step 3: Cross multiply
    383.04x = 526.14 × 377.64
  4. Step 4: Simplify right side
    383.04x = 198,691.51
  5. Step 5: Solve for x
    x = 198,691.51/383.04
  6. Step 6: Final answer
    x = 518.72

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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.