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Finding the Fourth Proportional to 384.32, 529.44 and 317.50

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Solution

The fourth proportional to 384.32, 529.44 and 317.50 is: 437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.32 : 529.44 = 317.50 : x
  2. Step 2: Convert to fraction form
    384.32/529.44 = 317.50/x
  3. Step 3: Cross multiply
    384.32x = 529.44 × 317.50
  4. Step 4: Simplify right side
    384.32x = 168,097.20
  5. Step 5: Solve for x
    x = 168,097.20/384.32
  6. Step 6: Final answer
    x = 437.39

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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.