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Finding the Fourth Proportional to 603.02, 904.63 and 256.14

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Solution

The fourth proportional to 603.02, 904.63 and 256.14 is: 384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.02 : 904.63 = 256.14 : x
  2. Step 2: Convert to fraction form
    603.02/904.63 = 256.14/x
  3. Step 3: Cross multiply
    603.02x = 904.63 × 256.14
  4. Step 4: Simplify right side
    603.02x = 231,711.93
  5. Step 5: Solve for x
    x = 231,711.93/603.02
  6. Step 6: Final answer
    x = 384.25

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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.