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Finding the Fourth Proportional to 320.76, 482.91 and 266.40

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Solution

The fourth proportional to 320.76, 482.91 and 266.40 is: 401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.76 : 482.91 = 266.40 : x
  2. Step 2: Convert to fraction form
    320.76/482.91 = 266.40/x
  3. Step 3: Cross multiply
    320.76x = 482.91 × 266.40
  4. Step 4: Simplify right side
    320.76x = 128,647.22
  5. Step 5: Solve for x
    x = 128,647.22/320.76
  6. Step 6: Final answer
    x = 401.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.