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Finding the Fourth Proportional to 437.76, 653.12 and 366.08

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Solution

The fourth proportional to 437.76, 653.12 and 366.08 is: 546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.76 : 653.12 = 366.08 : x
  2. Step 2: Convert to fraction form
    437.76/653.12 = 366.08/x
  3. Step 3: Cross multiply
    437.76x = 653.12 × 366.08
  4. Step 4: Simplify right side
    437.76x = 239,094.17
  5. Step 5: Solve for x
    x = 239,094.17/437.76
  6. Step 6: Final answer
    x = 546.18

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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.