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Finding the Fourth Proportional to 390.56, 537.71 and 370.04

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Solution

The fourth proportional to 390.56, 537.71 and 370.04 is: 509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.56 : 537.71 = 370.04 : x
  2. Step 2: Convert to fraction form
    390.56/537.71 = 370.04/x
  3. Step 3: Cross multiply
    390.56x = 537.71 × 370.04
  4. Step 4: Simplify right side
    390.56x = 198,969.67
  5. Step 5: Solve for x
    x = 198,969.67/390.56
  6. Step 6: Final answer
    x = 509.45

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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.