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Finding the Fourth Proportional to 385.35, 577.10 and 303.94

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Solution

The fourth proportional to 385.35, 577.10 and 303.94 is: 455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.35 : 577.10 = 303.94 : x
  2. Step 2: Convert to fraction form
    385.35/577.10 = 303.94/x
  3. Step 3: Cross multiply
    385.35x = 577.10 × 303.94
  4. Step 4: Simplify right side
    385.35x = 175,403.77
  5. Step 5: Solve for x
    x = 175,403.77/385.35
  6. Step 6: Final answer
    x = 455.18

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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.