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Finding the Fourth Proportional to 385.02, 574.38 and 357.06

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Solution

The fourth proportional to 385.02, 574.38 and 357.06 is: 532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.02 : 574.38 = 357.06 : x
  2. Step 2: Convert to fraction form
    385.02/574.38 = 357.06/x
  3. Step 3: Cross multiply
    385.02x = 574.38 × 357.06
  4. Step 4: Simplify right side
    385.02x = 205,088.12
  5. Step 5: Solve for x
    x = 205,088.12/385.02
  6. Step 6: Final answer
    x = 532.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.