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Finding the Fourth Proportional to 895.35, 1,342.71 and 310.21

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Solution

The fourth proportional to 895.35, 1,342.71 and 310.21 is: 465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.35 : 1,342.71 = 310.21 : x
  2. Step 2: Convert to fraction form
    895.35/1,342.71 = 310.21/x
  3. Step 3: Cross multiply
    895.35x = 1,342.71 × 310.21
  4. Step 4: Simplify right side
    895.35x = 416,518.71
  5. Step 5: Solve for x
    x = 416,518.71/895.35
  6. Step 6: Final answer
    x = 465.20

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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.