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Finding the Fourth Proportional to 530.87, 795.89 and 256.68

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Solution

The fourth proportional to 530.87, 795.89 and 256.68 is: 384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.87 : 795.89 = 256.68 : x
  2. Step 2: Convert to fraction form
    530.87/795.89 = 256.68/x
  3. Step 3: Cross multiply
    530.87x = 795.89 × 256.68
  4. Step 4: Simplify right side
    530.87x = 204,289.69
  5. Step 5: Solve for x
    x = 204,289.69/530.87
  6. Step 6: Final answer
    x = 384.82

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