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Finding the Fourth Proportional to 385.01, 530.97 and 301

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Solution

The fourth proportional to 385.01, 530.97 and 301 is: 415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.01 : 530.97 = 301 : x
  2. Step 2: Convert to fraction form
    385.01/530.97 = 301/x
  3. Step 3: Cross multiply
    385.01x = 530.97 × 301
  4. Step 4: Simplify right side
    385.01x = 159,821.97
  5. Step 5: Solve for x
    x = 159,821.97/385.01
  6. Step 6: Final answer
    x = 415.11

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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.