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Finding the Fourth Proportional to 388.64, 581.74 and 307.64

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Solution

The fourth proportional to 388.64, 581.74 and 307.64 is: 460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.64 : 581.74 = 307.64 : x
  2. Step 2: Convert to fraction form
    388.64/581.74 = 307.64/x
  3. Step 3: Cross multiply
    388.64x = 581.74 × 307.64
  4. Step 4: Simplify right side
    388.64x = 178,966.49
  5. Step 5: Solve for x
    x = 178,966.49/388.64
  6. Step 6: Final answer
    x = 460.49

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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.