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Finding the Fourth Proportional to 385.83, 528.19 and 383.13

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Solution

The fourth proportional to 385.83, 528.19 and 383.13 is: 524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.83 : 528.19 = 383.13 : x
  2. Step 2: Convert to fraction form
    385.83/528.19 = 383.13/x
  3. Step 3: Cross multiply
    385.83x = 528.19 × 383.13
  4. Step 4: Simplify right side
    385.83x = 202,364.48
  5. Step 5: Solve for x
    x = 202,364.48/385.83
  6. Step 6: Final answer
    x = 524.49

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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.