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Finding the Fourth Proportional to 390.61, 537.94 and 382.10

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Solution

The fourth proportional to 390.61, 537.94 and 382.10 is: 526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.61 : 537.94 = 382.10 : x
  2. Step 2: Convert to fraction form
    390.61/537.94 = 382.10/x
  3. Step 3: Cross multiply
    390.61x = 537.94 × 382.10
  4. Step 4: Simplify right side
    390.61x = 205,547.26
  5. Step 5: Solve for x
    x = 205,547.26/390.61
  6. Step 6: Final answer
    x = 526.22

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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.